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Issue:Intuitionistic fuzzy differential equation with nonlocal condition

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http://ifigenia.org/wiki/issue:nifs/21/4/58-68
Title of paper: Intuitionistic fuzzy differential equation with nonlocal condition
Author(s):
Said Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
said.melliani@gmail.com
M'hamed Elomari
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
M. Atraoui
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Lalla Saadia Chadli
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 4, pages 58–68
Download:  PDF (199  Kb, File info)
Abstract: In this paper, we shall prove the existence and uniqueness theorem of a solution to the nonlocal intuitionistic fuzzy differential equation using the concept of intuitionistic fuzzy

semigroup and the contraction mapping principle.

Keywords: Intuitionistic fuzzy differential equations, Intuitionistic fuzzy solution, Intuitionistic fuzzy semigroup, Intuitionistic fuzzy number, Mean-square calculus.
AMS Classification: 03E72, 08A72.
References:
  1. Jeong, J. U. (2005) Fuzzy differential equations with nonlocal condition, J. Appl. Math. Computing, 17, 509–517.
  2. Melliani, S., M. Elomari, L. S. Chadli & R. Ettoussi (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
  3. Melliani, S., M. Elomari, L. S. Chadli & R. Ettoussi (2015) Intuitionistic fuzzy semigroup, Notes on Intuitionistic Fuzzy Sets, 21(2), 43–50.
  4. Kaleva, O. (1987) Fuzzy differential equations, Fuzzy Sets and Systems, 24, 301–317.
  5. Feng, Y. (2000) Fuzzy stochastic differential systems, Fuzzy Sets and Systems, 115, 351–363.
Citations:
  1. BISWAS, SUVANKAR, and TAPAN KUMAR ROY. "APPLICATION OF INTUITIONISTIC DIFFERENTIAL TRANSFORMATION METHOD TO SOLVE INTUITIONISTIC FUZZY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION." International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 141-149.

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